Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Jordan–Schönflies theorem | Statement: [Jordan curve theorem, hasRefinement, Jordan–Schönflies theorem]

Target entity: Jordan–Schönflies theorem
Context triple: [Jordan curve theorem, hasRefinement, Jordan–Schönflies theorem]

• A. Schoenflies theorem chosen
  The Schoenflies theorem is a result in topology stating that any simple closed curve in the plane bounds a region homeomorphic to a disk, providing a stronger form of the Jordan curve theorem.
• B. Jordan curve theorem
  The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
• C. Dehn–Lickorish theorem
  The Dehn–Lickorish theorem is a fundamental result in low-dimensional topology stating that the mapping class group of a closed, orientable surface is generated by finitely many Dehn twists.
• D. Dehn lemma
  The Dehn lemma is a fundamental result in 3-manifold topology that gives conditions under which a loop on the boundary of a 3-manifold bounds an embedded disk in the manifold.
• E. Smale’s paradox
  Smale’s paradox is a result in differential topology showing that a sphere can be turned inside out in three-dimensional space through smooth deformations without tearing or creasing, challenging intuitive notions of geometry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.